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单词 binomial series
释义

binomial series

(expansion) The series

being the Taylor series for the function (1 + x)α. In general, it is valid for −1 < x < 1. In fact, the series converges for complex x with modulus less than 1, but then care is needed interpreting the sum as (1 + x)α (see branch). If α is a non-negative integer, the expansion is a finite series and so is a polynomial, and then it is equal to (1 + x)α for all x.

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更新时间:2025/7/9 7:32:07